tetration bending uniqueness ?
#9
(08/28/2010, 11:23 PM)tommy1729 Wrote: log(tet'(z+r)) + A = log(tet'(z)) + B

hence bending points in

sexp(slog(z) + r) correspond to bending points in sexp(z).
?
I dont see how that follows, nor does it seem to be right.
For example the fractional iterates of c^x, c>eta have no bending points imho,
while the curvature of sexp in (-2,0) seems to be negative for me, while for greater x it appears to be positive. So there must be a bending point somewhere.
[Image: attachment.php?aid=796]



Messages In This Thread
tetration bending uniqueness ? - by tommy1729 - 08/28/2010, 11:23 PM
RE: tetration bending uniqueness ? - by tommy1729 - 08/28/2010, 11:31 PM
RE: tetration bending uniqueness ? - by tommy1729 - 08/29/2010, 06:17 PM
RE: tetration bending uniqueness ? - by tommy1729 - 08/29/2010, 06:38 PM
RE: tetration bending uniqueness ? - by bo198214 - 08/30/2010, 08:56 AM
RE: tetration bending uniqueness ? - by tommy1729 - 08/30/2010, 09:37 AM
RE: tetration bending uniqueness ? - by tommy1729 - 06/06/2011, 10:56 PM
RE: tetration bending uniqueness ? - by bo198214 - 06/07/2011, 07:11 AM
RE: tetration bending uniqueness ? - by bo198214 - 06/07/2011, 07:47 AM
RE: tetration bending uniqueness ? - by mike3 - 06/07/2011, 10:56 AM
RE: tetration bending uniqueness ? - by bo198214 - 06/07/2011, 11:19 AM
RE: tetration bending uniqueness ? - by mike3 - 06/07/2011, 09:10 PM
RE: tetration bending uniqueness ? - by bo198214 - 06/07/2011, 12:27 PM
RE: tetration bending uniqueness ? - by tommy1729 - 06/07/2011, 09:02 PM
RE: tetration bending uniqueness ? - by bo198214 - 06/08/2011, 08:37 PM
RE: tetration bending uniqueness ? - by tommy1729 - 06/08/2011, 12:34 PM
RE: tetration bending uniqueness ? - by tommy1729 - 06/09/2011, 12:26 PM

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